O. Randal-Williams

activity

20102022

most citedThe stable cohomology of automorphisms of free groups with coefficients in the homology representation

8 citations · 8 across the 4 of their papers we have counts for

collaborators

11 papers

math.AT2022

Diffeomorphisms of discs

Oscar Randal-Williams

I describe what is currently known, for $d \geq 5$ , about the rational homotopy type of the group of diffeomorphisms of the $d$ -disc relative to its boundary, and the closely relat…

cond-mat.str-el2020

Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems

Oscar Randal-Williams, Lokman Tsui, Xiao-Gang Wen

In 2+1-dimensions (2+1D), a gapped quantum phase with no symmetry (i.e. a topological order) can have a thermal Hall conductance $κ_{x y} = c \frac{π ^{2} k _{B}^{2}}{3 h} T$ , where the dimensi…

math.AT2020

Framings of $W_{g, 1}$

Alexander Kupers, Oscar Randal-Williams

We compute the set of framings of $W_{g, 1} = D^{2 n} # (S^{n} \times S^{n})^{# g}$ , up to homotopy and diffeomorphism relative to the boundary.

math.AT2019

Operations on stable moduli spaces

Soren Galatius, Oscar Randal-Williams

We construct certain operations on stable moduli spaces and use them to compare cohomology of moduli spaces of closed manifolds with tangential structure. We obtain isomorphisms in…

math.AT2019

The cohomology of Torelli groups is algebraic

Alexander Kupers, Oscar Randal-Williams

The Torelli group of $W_{g} = #^{g} S^{n} \times S^{n}$ is the subgroup of the diffeomorphisms of $W_{g}$ fixing a disc which act trivially on $H_{n} (W_{g}; Z)$ . The rational cohomology groups o…

math.NT2019

Homology of Hurwitz spaces and the Cohen--Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland)